This review focuses on the field of quantum entanglement applied to condensed matter
physics systems with strong correlations, a domain which has rapidly grown over the last …

The strong disorder RG approach for random systems has been extended in many new
directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 …

We study the effects of quenched disorder in a class of quantum chains with (p+ 1)-multispin
interactions exhibiting a free fermionic spectrum, paying special attention to the case p= 2 …

We study the many-body localization (MBL) properties of a chain of interacting fermions
subject to a quasiperiodic potential such that the non-interacting chain is always delocalized …

We consider Majorana lattices with two-site interactions consisting of a general function of
the fermion bilinear. The models are exactly solvable in the limit of a large number of on-site …

Quasiperiodic systems are aperiodic but deterministic, so their critical behavior differs from
that of clean systems and disordered ones as well. Quasiperiodic criticality was previously …

We propose a new example of discrete holography that provides a new step towards
establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is …

In view of making progress towards establishing a holographic duality for theories defined
on a discrete tiling of the hyperbolic plane, we consider a recently proposed boundary spin …

Many-body spin systems represent a paradigmatic platform for the realization of emergent
states of matter in a strongly interacting regime. Spin models are commonly studied in one …

Unlike random potentials, quasiperiodic modulation can induce localization-delocalization
transitions in one dimension. In this Letter, we analyze the implications of this for symmetry …